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Finding the Fourth Proportional to 145.64, 200.86 and 118

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Solution

The fourth proportional to 145.64, 200.86 and 118 is: 162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.64 : 200.86 = 118 : x
  2. Step 2: Convert to fraction form
    145.64/200.86 = 118/x
  3. Step 3: Cross multiply
    145.64x = 200.86 × 118
  4. Step 4: Simplify right side
    145.64x = 23,701.48
  5. Step 5: Solve for x
    x = 23,701.48/145.64
  6. Step 6: Final answer
    x = 162.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.